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» Packing Cycles in Graphs
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COMBINATORICA
2010
14 years 10 months ago
The homology of a locally finite graph with ends
We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we charact...
Reinhard Diestel, Philipp Sprüssel
136
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JGAA
2006
127views more  JGAA 2006»
15 years 3 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
121
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COCO
2010
Springer
131views Algorithms» more  COCO 2010»
15 years 28 days ago
On the Matching Problem for Special Graph Classes
An even cycle in a graph is called nice by Lov
Thanh Minh Hoang
147
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TPDS
2010
109views more  TPDS 2010»
15 years 1 months ago
Minimal Sets of Turns for Breaking Cycles in Graphs Modeling Networks
Abstract—We propose an algorithm that provides for deadlockfree and livelock-free routing, in particular in wormhole routed networks. The proposed algorithm requires nearly minim...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa
DM
2008
95views more  DM 2008»
15 years 3 months ago
Forbidden subgraphs and the existence of paths and cycles passing through specified vertices
In [2], Duffus et al. showed that every connected graph G which contains no induced subgraph isomorphic to a claw or a net is traceable. And they also showed that if a 2-connected...
Jun Fujisawa, Katsuhiro Ota, Takeshi Sugiyama, Mas...